Question

write the angle sum of property of a triangle​

Answer 1

Answer:

Theorem 1: Angle sum property of triangle states that the sum of interior angles of a triangle is 180°. Proof: Consider a ∆ABC, as shown in the figure below. ... Thus, the sum of the interior angles of a triangle is 180°

Step-by-step explanation:

Answer 2

Angle sum of the triangle state that the sum of interior angles of a triangle is 180° consider a ∆ABC as shown in figure below thus the sum of interior angles of a triangle is 180°

in the given triangle, ∆ABC , AB, BC and CA represent three sides A, B and C are the three interior angles of ∆ABC

proof :

consider ∆ABC as shown in the figure below to prove the above

property of triangles PQ parallel to side BC of the given triangle

Since PQ is a straight line

<PAB + <BAC + <QAC = 180° _ (1)

PQ || BC and AB, AC are transversal

Therefore, <QAC = <ACB ( A pair of alternate angle)

Also, < PAB =< CBA ( A pair of alternate angle)

Substituting the value of < QAC and <PAB in eq (1)

<ACB+ <BAC + <CBA = 180°

Thus, the sum of the interior angles of triangle is 180°

Step-by-step explanation:

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